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Let Fr(n) be the incomplete complex flag manifold of length r in Cn. We make a start on the complete determination of the torsion part of the group KO-i(Fr(n)) giving results here when r = 2, 3.
We study the properties of the connective K-theory with Z2 coefficients of the Lie groups Spin(n). This generalises some work by L. Hodgkin.
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